Reduction and coisotropic invariant tori of Hamiltonian systems with non-poisson commutative symmetries. II
Haamiltonian systems of mechanical type are considered on a twisted cotangent stratification of a manifold admitting a smooth free torus action. In the case where these systems possess non-Poisson symmetries generated by the torus action, the Lee-Cartan reduction scheme is described and the structure of a reduced phase space and reduced Hamiltonians is clarified.
English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 7, pp 991-1002.
Citation Example: Parasyuk I. O. Reduction and coisotropic invariant tori of Hamiltonian systems with non-poisson commutative symmetries. II // Ukr. Mat. Zh. - 1994. - 46, № 7. - pp. 904–914.